10334533506 has 64 divisors (see below), whose sum is σ = 23012035200. Its totient is φ = 3067891200.

The previous prime is 10334533481. The next prime is 10334533507. The reversal of 10334533506 is 60533543301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10334533507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 632196 + ... + 648336.

It is an arithmetic number, because the mean of its divisors is an integer number (359563050).

Almost surely, 2^10334533506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10334533506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11506017600).

10334533506 is an abundant number, since it is smaller than the sum of its proper divisors (12677501694).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10334533506 is a wasteful number, since it uses less digits than its factorization.

10334533506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16355.

The product of its (nonzero) digits is 48600, while the sum is 33.

The spelling of 10334533506 in words is "ten billion, three hundred thirty-four million, five hundred thirty-three thousand, five hundred six".